NFYK10005U Continuum Mechanics
In the macroscopic world, most materials that surround us e.g.
solids and liquids can safely be assumed to exist as continua, that
is, the materials completely fill the space they occupy and the
underlying atomic structures can be neglected. The course offers a
modern introduction to the physics of continuous matter with an
emphasis on examples from natural occurring systems (e.g. in
astrophysics, geophysics and other fields). Focus is equally on the
underlying formalism of continuum mechanics and phenomenology. In
the course you will become familiar with the mechanical behavior of
materials ranging from viscous fluids to elastic solids.
A description of fluids in motion including Eulaer equations,
potential flow, Stokes flow, Viscocity and the Navier-Stokes
equation. Boundary layer problems will be considered. A description
of the deformation of solids, mehcanical equilibrium, the stress
and strain tensors, Hooke's law and linear elsticity and a
derivation of the Navier-Cauchy equation as well as examples from
elastostatics:bending beams and torsion of shafts. Elastodynamics
and elastic waves.
Skills
At the conclusion of the course students will be able to
- use the fundamental physical laws of mass conservation, conservation of momentum, and conservation of energy to derive differential equations describing the behavior of objects modeled as a continuum
- calculate the stress and strain during small deformations of linear elastic materials in simple geometries.
Knowledge
The student will be able to
- describe the flow of fluids in basic idealized systems using the Euler equations
- describe creeping flows
- describe in detail the Navier-Stokes equation
- recognize stress and strain tensors, Hooke's lan and the Navier-Cauchy equation
Competences
This course will provide the students with a competent background
for further studies within this research field, e.g. an M.Sc.
project.
The course will provide the students with tools that have
application in a range of fields within and beyond
physics.
To be announced
- Category
- Hours
- E-Learning
- 0,5
- Exam
- 146,5
- Lectures
- 24
- Theory exercises
- 35
- Total
- 206,0
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- Credit
- 7,5 ECTS
- Type of assessment
- Oral examination, 30 minWithout preparation time
- Aid
- Without aids
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
More internal examiners
Criteria for exam assesment
SeeSkills.
Course information
- Language
- English
- Course code
- NFYK10005U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 3
- Schedule
- C (Mon 13-17 + Wednes 8-17)
- Course capacity
- No restriction to number of participants
- Continuing and further education
- Study board
- Study Board of Physics, Chemistry and Nanoscience
Contracting department
- The Niels Bohr Institute
Course responsibles
- Joachim Mathiesen (7-7064776b6c68764371656c316e7831676e)